The Computation of Pi by Archimedes

Version 1.20.0.0 (3.58 MB) by Bill McKeeman
Archimedes wrote 3 1/7 > pi > 3 10/71. This is how he did it.
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Updated 4 Mar 2016

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Editor's Note: This file was selected as MATLAB Central Pick of the Week

Before there was floating point, or a way to write zero, or algebraic notation, Archimedes bounded the value of pi by estimating the perimeter of regular polygons inside and outside the circle. His computation is repeated and explained here using MATLAB.

Cite As

Bill McKeeman (2024). The Computation of Pi by Archimedes (https://www.mathworks.com/matlabcentral/fileexchange/29504-the-computation-of-pi-by-archimedes), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2016a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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@fr/

@vpi/

html/

Version Published Release Notes
1.20.0.0

Fixing bug noted by danf in comments.
Added a live script
Added a live script
1.19.0.0

Added @vpi and @fr class directories
1.13.0.0

The submitted zip file still did not have the right contents. Trying again.
1.12.0.0

Previous version did not have vpi or fr on the MATLAB path -- caused errors.
1.9.0.0

Still trying to change typo in Greek number
1.8.0.0

Fixed type in Greek integer
1.7.0.0

Apologies for many updates. Wordsmithing again.
1.6.0.0

Minor fixes, sent wrong file last submission.
1.3.0.0

Improved wording.
1.2.0.0

Rewrote some of the descriptive material.
1.1.0.0

Typo in title page
1.0.0.0